Actually, I guess Machine Elf’s interpretation of my OP was, at first, closer to what I was explicitly asking; but his lengthy and patient explanations of the whole W = Fd stuff took the whole discussion in a direction I hadn’t even anticipated.
I had considered it obvious, a priori, that the user would have to have alternating up and down phases in the stepping cycle (Scenario B) to simulate stair climbing (at least approximately), and that the Stairmaster would need to be designed in such a way as to accomplish this. So my question, taken vary literally and narrowly was: Does it, in fact, work this way, and if so, how?
OTOH, I had assumed that the machine could, hypothetically, keep the user at a constant altitude (or nearly so) throughout the stepping cycle (Scenario A) by lowering the user at a constant and steady speed while the user raises himself at a constant and steady speed. So I assumed that it was important for the machine to NOT do this.
(Have I gotten the two scenarios labeled right this time?)
So Machine Elf caught me by surprise by arguing that it makes no difference.
So now that that is basically all settled, I’m wondering what difference it does make between the two scenarios, in terms of the “quality” of the up-stairs workout that the user gets. So this is getting into the details of the exercise physiology, which is apparently more DSeid’s bailiwick. So now I’m interested in having this discussion continue in those directions.
The notion of (vertical) acceleration and deceleration was tangentially mentioned a few times. I take this to mean the extra work of accelerating one’s body upward (in addition to the work of maintaining constant altitude) while straightening the leg. If the legs alternate the power cycles (the vertical lifting phase) with a pause between each step, you have this (vertical) starting-and-stopping pattern. If you could have perfectly continuous vertical lifting (even though alternating between left and right legs), then that starting-and-stopping doesn’t happen.
So:
(a) Is this a factor that makes Scenario B a qualitatively different exercise than Scenario A?
(b) If so, is it a significant factor (for reasonable values of “significant”; I’m taking that to mean: Significant in relation to the effort of the vertical lifting work)?
© In real life, what happens on the Stairmaster?
We’ve established that Scenario A (continuous motion with constant-altitude CoG) could happen in two ways: With high-resistance setting, it happens slowly, with the user walking and lifting himself very slowly; or with low-resistance setting, in which the user has to trot much quicker to keep up. I’m still a little skeptical as to whether either of these scenarios actually does happen in real life; and if either does, to what extent it is similar to stationary stair-case climbing? And we’ve established that slow-motion weight lifting is qualitatively different than fast-motion weight lifting.
So, having settled that the W=Fd is the same for both, I’m interested in DSeid’s discussions of what other matters come into play in exercise physiology, and how much those to affect my question: How closely does the Stairmaster simulate actual stair climbing?
I get that the Stairmaster is one-way only and completely omits the entire exercise of walking back down all those stairs. (Or can the machine also be used in a down-stairs mode of operation?)